Case Study 1 - Solutions

Similar shape factors possibilities include 41

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Unformatted text preview: centre ( ) Square with well in centre of corner sector ( ) 2:1 rectangle with well off centre in long direction ( ) 2:1 rectangle with well off centre in short direction ( ) According to just the shape factor the most likely drainage region is a rectangular region with a L:W ratio near 1:4 and the well near centre. As another measure we may check the time to stabilized semi-steady state flow at 30 hrs, when SSS flow occurs according to the previous plots: Looking at this value alone, a square with well in centre of corner sector ( ) or a 4:1 rectangle with well off centre in short direction ( ) appear best. To further investigate the configuration we may take advantage of plots Matthews, Brons and Hazebrook (MBH). MDH plots are created for a range of shapes and configurations, providing the solution to the ( ) function. The function encompasses the full range of time, allowing for a solution to the infinite, transient and semi-steady state flow regimes. To determine the most appropriate configuration the four possible suggestions will be evaluated using the MBH plots to see which configuration models best correspond to the measured pressures in this test. The flowing equation is utilized: () () () () () () The definition of dimensionless pressure is: () With the additional of skin: ( ( )) )( () () Substituting in: ( ( )) )( () Solving for wellbore pressure: () ( ) () This equation will be used to solve for the theoretical wellbore pressure. The following data results: 4 Measured Data Time (hrs) Pressure (psia) Tda td Pd 0 3500 0.000 0 0.0 1 2917 0.015 211897 10.8 2 2900 0.030 423793 11.1 3 2888 0.046 635690 11.4 4 2879 0.061 847587 11.5 5 2869 0.076 1059484 11.7 7.5 2848 0.114 1589226 12.1 10 2830 0.152 2118967 12.4 15 2794 0.229 3178451 13.1 20 2762 0.305 4237935 13.7 30 2703 0.457 6356902 14.8 40 2650 0....
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This note was uploaded on 01/26/2014 for the course ENG 9111 taught by Professor Drjohanssen during the Spring '12 term at Memorial University.

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